The number 55100
55100 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 29. Divisors (36): 1, 2, 4, 5, 10, 19, 20, 25, 29, 38, 50, 58, 76, 95, 100, 116 … 55100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55100 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 55100 itself that is 75100, so 55100 is abundant (75100 is more than 55100). Euler's totient φ(55100) = 20160 numbers up to 55100 share no factor with it.
- 4
The digits of 55100 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55100 = 2^{2} \times 5^{2} \times 19 \times 29 \]55100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 20160 |
| Square | 3036010000 |
| Cube | 167284151000000 |
| Square root | 234.733892 (= 10√551) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.51 × |
55100 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred |
| Binary (base 2) | 1101011100111100 |
| Octal (base 8) | 153474 |
| Hexadecimal (base 16) | D73C |
| Base 3 | 2210120202 |
| As time | 55100 seconds = 15 h 18 min 20 s |
Is 55100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55100 ÷ 2 = 27550) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55100 ÷ 4 = 13775) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55100 ÷ 5 = 11020) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55100 ÷ 10 = 5510) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55100 a prime number?
No. 55100 = × × 19 × 29, so it is divisible by 2.
What are the factors of 55100?
1, 2, 4, 5, 10, 19, 20, 25, 29, 38, 50, 58, 76, 95, 100, 116, 145, 190, 290, 380, 475, 551, 580, 725, 950, 1102, 1450, 1900, 2204, 2755, 2900, 5510, 11020, 13775, 27550, 55100.
What is 55100 in binary?
1101011100111100 (hexadecimal D73C, octal 153474).
What is the square root of 55100?
About 234.7339, exactly 10√551.
Is 55100 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 55100?
It is a composite number with 36 divisors.